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15-\left(2-x\right)=3x-3
Multiply both sides of the equation by 3.
15-2-\left(-x\right)=3x-3
To find the opposite of 2-x, find the opposite of each term.
15-2+x=3x-3
The opposite of -x is x.
13+x=3x-3
Subtract 2 from 15 to get 13.
13+x-3x=-3
Subtract 3x from both sides.
13-2x=-3
Combine x and -3x to get -2x.
-2x=-3-13
Subtract 13 from both sides.
-2x=-16
Subtract 13 from -3 to get -16.
x=\frac{-16}{-2}
Divide both sides by -2.
x=8
Divide -16 by -2 to get 8.